114edo

114edo is the equal division of the octave into 114 parts, each of 10.52632 cents. In the 5-limit it tempers out 2048/2025, in the 7-limit 245/243, in the 11-limit 121/120 and 176/175, in the 13-limit 196/195 and 325/324, in the 17-limit 136/135 and 154/153, in the 19-limit 286/285 and 343/342. These commas make for 114edo being an excellent tuning for shrutar temperament; it is in fact the optimal patent val for shrutar in the 11- 13- 17- and 19-limit, as well as the rank three bisector temperament.

Period of 19-limit Shrutar

Degree	Cents
2	21.05263
3	31.57895
5	52.63158
7	73.68421
8	84.21053
10	105.26316
12	126.31579
13	136.842105
15	157.89474
17	178.94737
18	189.47369
20	210.52632
22	231.57895
23	242.10526
25	263.157895
27	284.21053
29	305.26316
30	315.78947
32	336.842105
34	357.89474
35	368.42105
37	389.47368
39	410.52632
40	421.05263
42	442.10526
44	463.157895
45	473.68421
47	494.73684
49	515.78947
50	526.31579
52	547.36842
54	568.42105
55	578.94737